Answer:
y = 2x - 2
Step-by-step explanation:
Equation of a line:
In slope-intercept formula, it is:
y = mx + b
In which m is the slope and b is the y-intercept, which is the value of y when x = 0.
Passes through points (4, 6), and (-2, -6).
We find the equation using these two points.
First we find the slope, which is the change in y divided by the change in x.
Change in y: 6 - (-6) = 6 + 6 = 12.
Change in x: 4 - (-2) = 4 + 2 = 6
Slope: m = 12/6 = 2
So:
y = 2x + b
We select one of these points, two find b.
I will select the point (4,6), which means that when x = 4, y = 6. So
y = 2x + b
6 = 2*4 + b
8 + b = 6
b = 6 - 8
b = -2
So the equation of the line is:
y = 2x - 2
